Question

what is the value of x in the equation \\(\frac{1}{5}x - \frac{2}{3}y = 30\\), when \\(y = 15\\)?
\\(\bigcirc\\) 4
\\(\bigcirc\\) 8
\\(\bigcirc\\) 80
\\(\bigcirc\\) 200

Explanation:

Step1: Substitute y = 15 into the equation

Substitute \( y = 15 \) into \( \frac{1}{5}x - \frac{2}{3}y = 30 \), we get \( \frac{1}{5}x - \frac{2}{3} \times 15 = 30 \).

Step2: Simplify the equation

Calculate \( \frac{2}{3} \times 15 = 10 \), so the equation becomes \( \frac{1}{5}x - 10 = 30 \).

Step3: Solve for x

Add 10 to both sides: \( \frac{1}{5}x = 30 + 10 = 40 \). Then multiply both sides by 5: \( x = 40 \times 5 = 200 \).

Answer:

200